7903494144 has 720 divisors, whose sum is σ = 30533601280. Its totient is φ = 1911029760.

The previous prime is 7903494077. The next prime is 7903494173. The reversal of 7903494144 is 4414943097.

It is a self number, because there is not a number n which added to its sum of digits gives 7903494144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254951409 + ... + 254951439.

Almost surely, 2^7903494144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7903494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266800640).

7903494144 is an abundant number, since it is smaller than the sum of its proper divisors (22630107136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7903494144 is a wasteful number, since it uses less digits than its factorization.

7903494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7903494144 is about 88901.5980958723. The cubic root of 7903494144 is about 1991.9252887255.

The spelling of 7903494144 in words is "seven billion, nine hundred three million, four hundred ninety-four thousand, one hundred forty-four".